INFORMATION CHANGE THE WORLD

International Journal of Information Technology and Computer Science(IJITCS)

ISSN: 2074-9007 (Print), ISSN: 2074-9015 (Online)

IJITCS Vol.4, No.3, Apr. 2012

About One Model Strategic Game of Collective Choice

Full Text (PDF, 95KB), PP.51-57

Index Terms

Game Theory,Non-cooperative Game,Dyadic Game,Strategy,Collective choice,Equilibrium Situation

Abstract

A model of dyadic non-cooperative game Γ(H) is discussed in the paper for the set of one and the same players’ strategies. The players make their choice sitting round the table and have the opportunity to coordinate only the meanings of utilities in every situation. Therefore the players’ payoffs are given by 2×2 matrixes. A notion “the equalized situation” in mixed strategies which is at the same time the equilibrium is introduced. The theorem has been proved, which establishes the conditions of existance of an equalized situation in the given game. In the case of the existence algorithm is constructed. If equalized situation doesn’t exist in the game, then there exists the equilibrium situation in the pure strategies and it is possible to find it by analysis of situations. Γ(H) game’s with bimatrix game in case of two players is given. The players’ conditions of optimal mixed strategies existence in game is written. Relevant examples are solved and Γ(H) game’s application for finite amount of players’ is discussed.

Cite This Paper

Guram N. Beltadze, Jimsher A. Giorgobiani, "About One Model Strategic Game of Collective Choice", International Journal of Information Technology and Computer Science(IJITCS), vol.4, no.3, pp.51-57, 2012. DOI: 10.5815/ijitcs.2012.03.08

Reference

[1]Brams S. J. Game theory and politics. New York University, 2003,312 p.

[2]Brams S. J. Kilgour D. M. Game theory and national security. Basil Blackwell, New York, 1988, 199 p.

[3]Deemen A. Rusinowska. Editors. Collective Decision Making. Views from social choise and game theory. Springer Heidelberg Dordrecht London, New York, 2010, 281 p.

[4]Geckil I. K., Anderson P. Applied game theory and strategic behavior. Taylor and Francis Group, 2010, 212 p.

[5]Keet M. C. Terrorism and Game Theory. Coalitions, negotiations and audience costs. Limerick, University of Limerick, Ireland , July, 2003, 155 p.

[6]A. Kelly. Decision making using game theory. An introduction for managers. Cambridge University Press, 2003, 215 p.

[7]McCain R. Game theory and public policy. Drexel University, USA,2009, 270 p.

[8]McCarty N., A. Meirowitz Adam. Political game theory. An introduction. Cambridge University Press, 2007, 447 p.

[9]Ordeshook P. Game theory and political theory. An introduction. Cambridge University Press, 1986, 528 p.

[10]Rasmusen E. Games and information. An Introduction to game theory. Basil Blackwell, 2005, 577 p.

[11]Salikvadze M.E., G. N. Beltadze G.N., F. Criado. Dyadic theoretical games models of decision -making for the lexicographic vector payoffs. International Journal of Information Technology and Decision Making, Vol. 8, Issue 2, 2009, pp. 193-216.

[12]Vorob’ev N.N. Foundations of game theory Noncooperative games. Birkhauser Verlag. Basel – Boston – Berlin, 1994, 496 p.